Which RPM command will output the name of the package which installed the file /etc/exports?

rpm -F is the freshen operation, which upgrades already-installed packages from provided package files, and performs no file ownership query.

The -q flag puts rpm into query mode and the -f flag specifies a file path as the target, causing rpm to search the installed package database for the package that placed that file on the system. This reverse file-to-package lookup is the correct approach for identifying package ownership of /etc/exports.

rpm -K verifies the cryptographic signature of a package file; combining it with -l does not produce a file-to-package query.

rpm -qp queries metadata from an uninstalled .rpm package archive file, not a file already present on the filesystem.

rpm -qi displays information about an installed package referenced by its package name, not by a filesystem file path.